You are considering two investment choices: a. 1 year CD that pays 2% for sure; b. investing in SP500 with 8% expected and 20% stdev. Q5a. If you put 50% in each of the two, what in the mean and stdev for your portfolio return? Q5b. You want to maximize your expected return for the portfolio, as long as the stdev risk is no more than 10% per year. What is the allocation to CD and to stocks? What is the mean return of the portfolio? Q5c. You want to reach 17% mean return per year as a minimum. What is the least amount you need to allocate to stocks? What is the stdev of the portfolio?
Q5. You are considering two investment choices: a. 1 year CD that pays 2% for sure; b. investing in SP500 with 8% expected and 20% stdev. Q5a. If you put 50% in each of the two, what in the mean and stdev for your portfolio return? Q5b. You want to maximize your expected return for the portfolio, as long as the stdev risk is no more than 10% per year. What is the allocation to CD and to stocks? What is the mean return of the portfolio? Q5c. You want to reach 17% mean return per year as a minimum. What is the least amount you need to allocate to stocks? What is the stdev of the portfolio?
Q6. In addition to two instruments in Q5, you also can invest in a long term bond with 4% mean return and 10% stdev annually. Stock and bond funds have a correlation of -0.4 (negative 0.4). Q6a. What is the mean return and stdev for a portfolio that is 50% in stock and 50% in bond? Q6b. What is the mean return and stdev for a portfolio that is 25% in stock and 25% in bond and 50% in 1 year CD? Q6c. What is the mean return and stdev for a portfolio that is 75% in stock and 75% in bond and -50% (negative 50%, ie borrow money) in 1 year CD?
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